Document Type
Article
Publication Date
11-1-2014
Abstract
We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe. We derive the explicit right logarithmic derivative and symmetric logarithmic derivative operators in such a situation. We compute the corresponding quantum Fisher information matrices, and find that they can be fully expressed in terms of the mean displacement and covariance matrix of the Gaussian state. Finally, we give some examples to show the utility of our analytical results.
Publication Source (Journal or Book title)
European Physical Journal D
Recommended Citation
Gao, Y., & Lee, H. (2014). Bounds on quantum multiple-parameter estimation with Gaussian state. European Physical Journal D, 68 (11) https://doi.org/10.1140/epjd/e2014-50560-1